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Finding the Fourth Proportional to 102.06, 140.04 and 99.48

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Solution

The fourth proportional to 102.06, 140.04 and 99.48 is: 136.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.06 : 140.04 = 99.48 : x
  2. Step 2: Convert to fraction form
    102.06/140.04 = 99.48/x
  3. Step 3: Cross multiply
    102.06x = 140.04 × 99.48
  4. Step 4: Simplify right side
    102.06x = 13,930.47
  5. Step 5: Solve for x
    x = 13,930.47/102.06
  6. Step 6: Final answer
    x = 136.49

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.